Atkin-Lehner |
2+ 3+ 13+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128934b |
Isogeny class |
Conductor |
128934 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
282624 |
Modular degree for the optimal curve |
Δ |
-1046704778496 = -1 · 28 · 39 · 13 · 19 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -3 3 0 13+ 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6711,-215587] |
[a1,a2,a3,a4,a6] |
Generators |
[142:1225:1] |
Generators of the group modulo torsion |
j |
-1698363067491/53178112 |
j-invariant |
L |
4.6525257762202 |
L(r)(E,1)/r! |
Ω |
0.26325069101858 |
Real period |
R |
2.2091706990373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000153516 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128934bb1 |
Quadratic twists by: -3 |